Question

Mn^3 / m^-3 simplify the given expression completely.. write your answer without negative exponents

Answer 1

m⁴n³n

Step-by-step explanation:

Given the expression:

`(mn^3)/(m^(-3))`

We can write the negative exponent as a fraction:

`\begin{gathered} mn^3/ m^(-3) \\ =mn^3/(1)/(m^3)\text{ (Change the division to multiplication)} \\ =mn^3* m^3\text{ (Reorder to combine like terms)} \\ =m* m^3* n^3 \\ =m^4* n^3 \\ =m^4n^3 \end{gathered}`

The simplified expression is m⁴n³.